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Finding the Fourth Proportional to 4,974.78, 6,864.44 and 2,878.50

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Solution

The fourth proportional to 4,974.78, 6,864.44 and 2,878.50 is: 3,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.78 : 6,864.44 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    4,974.78/6,864.44 = 2,878.50/x
  3. Step 3: Cross multiply
    4,974.78x = 6,864.44 × 2,878.50
  4. Step 4: Simplify right side
    4,974.78x = 19,759,290.54
  5. Step 5: Solve for x
    x = 19,759,290.54/4,974.78
  6. Step 6: Final answer
    x = 3,971.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.